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Finding the Fourth Proportional to 13,378.66, 18,471.48 and 8,344.90

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Solution

The fourth proportional to 13,378.66, 18,471.48 and 8,344.90 is: 11,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.66 : 18,471.48 = 8,344.90 : x
  2. Step 2: Convert to fraction form
    13,378.66/18,471.48 = 8,344.90/x
  3. Step 3: Cross multiply
    13,378.66x = 18,471.48 × 8,344.90
  4. Step 4: Simplify right side
    13,378.66x = 154,142,653.45
  5. Step 5: Solve for x
    x = 154,142,653.45/13,378.66
  6. Step 6: Final answer
    x = 11,521.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.